Details

Time bar (total: 10.2s)

sample143.0ms

Algorithm
intervals
Results
39.0ms495×pre80true
25.0ms143×body160valid
22.0ms239×body80nan
13.0ms50×body320valid
5.0ms63×body80valid

simplify7.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)
152.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
31.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(* (* 3.0 a) c)
165.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
120.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Counts
85 → 85

prune258.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite705.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
31.0ms
(* 3.0 (* a c))
520.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
122.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series615.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 3.0 a) c)
32.0ms
(* 3.0 (* a c))
280.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
264.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify93.0ms

Counts
169 → 169

prune680.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
29.0ms
(* (* 3.0 a) c)
92.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
164.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series565.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
297.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
196.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify108.0ms

Counts
169 → 169

prune577.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
13×add-sqr-sqrt *-un-lft-identity associate-*r*
12×prod-exp cbrt-unprod
9×add-cube-cbrt pow-prod-down
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-*l* *-commutative associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg flip3-+ clear-num associate-/r* sqrt-prod flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
35.0ms
(* (* 3.0 a) c)
99.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
111.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 3.0 a) c)
35.0ms
(* (* 3.0 a) c)
158.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
220.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify93.0ms

Counts
103 → 103

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes233.0ms

Accuracy

62.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify53.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s4852×body160valid
728.0ms8322×body80nan
679.0ms16322×pre80true
307.0ms1371×body320valid
217.0ms1777×body80valid